Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Four are jelly-filled, 6 are lemon-filled, and 14 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting two custard-filled donuts in a row. Write your answer as a fraction in simplest form.

Question

mathstudent55 · Answer

When you take the first one, how many custard-filled donuts were there?

anonymous · Answer

13

mathstudent55 · Answer

Isn't it 14?

anonymous · Answer

There were 14 to begin with, yes

mathstudent55 · Answer

I meant before you start taking and you're about to take the first one, how many custard-filled donuts were there?

anonymous · Answer

14

mathstudent55 · Answer

Good. How many total donuts were there beofre taking any?

anonymous · Answer

24

mathstudent55 · Answer

Ok, so probability of getting the first custard-filled donut is
14/24 which reduces to 7/12

mathstudent55 · Answer

After Elizabeth took the first custard-filled donut and ate it ( I hope she enjoyed it), how many custard-filled donuts are left, and how many total donuts are left?

anonymous · Answer

Ok. I got that part. So is the second part 13/23?  or is 7/12 the final answer?

mathstudent55 · Answer

The second part is 13/23. Correct.
The final answer is the product of the 2:
7/12 * 13/23
Multiply the fractions together.

anonymous · Answer

i got 91/276

mathstudent55 · Answer

correct

anonymous · Answer

Yay! Thank you so much for helping me and walking me through the process.

mathstudent55 · Answer

You're very welcome.